Two Circles, Two Ellipses and Two Hyperellipses Walk Into a Hexagon

fkampas · August 17, 2016, 7:39pm

This was done in Mathematica 11, using ParametricIPOPTMinimize

sghuisman · August 17, 2016, 8:58pm

Nicely fits together! Very impressive! What is optimized(minimized/maximed) exactly? Total area? or total circumference? or?

fkampas · August 17, 2016, 10:44pm

The objective function is the apothem of the hexagon, the shortest distance from the center to a face. Minimizing it is equivalent to minimizing the area of the hexagon.

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Two Circles, Two Ellipses and Two Hyperellipses Walk Into a Hexagon

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